Final answer:
To find out how many orange tiles are needed for Mason's 13 x 13 swimming pool border, calculate the perimeter of the square pool (P = 4s) which results in 52 tiles needed.
Step-by-step explanation:
To determine how many orange tiles are needed for the border of Mason's 13 x 13 swimming pool, we need to calculate the perimeter of the pool. The pool is a square, so all four sides are of equal length. The formula for the perimeter of a square is P = 4s, where s is the side length of the square. Since the side length of Mason's pool is 13 tiles, the perimeter would be:
P = 4 × 13
P = 52 tiles
Therefore, for a complete border around the swimming pool, you would need to buy 52 orange tiles.